Hey!
I secured my TC through the direct route, at a firm that had only just opened applications for the DTC route for the first time, so I definitely don't think focusing heavily on DTC applications will ruin your chances.
My experience was also quite similar to yours - I had completed a few VSs and had previously done a placement year in a law firm, but hadn't secured a TC through those experiences. There are also people in my cohort who secured their TCs through the direct route with no prior legal experience at all. I think this shows it is much more about how you articulate the experiences you do have than having a particular checklist of legal experiences.
Given that you'll be working full-time, I think it is completely reasonable to prioritise DTC applications and only submit a limited number of VSs - particularly if they are firms you are really interested in and that only recruit through their VS. I would probably focus your DTC applications on firms that recruit a healthy number of trainees through the direct route, as that is likely to give you the best return of your time. Whilst the list may be a bit outdated, you can have a look at
this thread to get a rough idea of where firms recruit from.
However, I wouldn't completely rule out firms just because they recruit heavily from their VS. If it is a firm that you are genuinely interested in and they offer a DTC route, I would still give it a go - you truly never know!
I would also try not to worry too much about your new role not being a paralegal position. You'll still be able to draw on the experience you gain there in your applications, particularly if you can explain what you have learned and the responsibilities you have taken on. Ultimately, I think it is much better to have a sensible application strategy that allows you to maintain your full-time job than to put yourself under huge pressure trying to do lots of VS applications alongside it.
Best of luck with this cycle!